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Popular >

integral from 0 to 1 of x^2-4x+3

Solution

\int_{0}^{1} x^{2} - 4 x + 3 d x

Solution

\frac{4}{3}

+1

Decimal

1.33333 \dots

Solution steps

\int_{0}^{1} x^{2} - 4 x + 3 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{1} x^{2} d x - \int_{0}^{1} 4 x d x + \int_{0}^{1} 3 d x

\int_{0}^{1} x^{2} d x = \frac{1}{3}

\int_{0}^{1} 4 x d x = 2

\int_{0}^{1} 3 d x = 3

= \frac{1}{3} - 2 + 3

Simplify

\frac{1}{3} - 2 + 3 : \frac{4}{3}

= \frac{4}{3}

Graph

Popular Examples

integral from 0 to y of e^{y^2}

\int_{0}^{y} e^{y^{2}} d y

integral from 5 to 8 of sqrt(3x+1)

\int_{5}^{8} 3 x + 1 d x

integral from 6 to 7 of 1/(x^2)

\int_{6}^{7} \frac{1}{x ^{2}} d x

integral from 4 to 2 of g(x)

\int_{4}^{2} g (x) d x

integral from pi/3 to x of cos^2(t)

\int_{\frac{π}{3}}^{x} cos^{2} (t) d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of x^2-4x+3 ?
The integral from 0 to 1 of x^2-4x+3 is 4/3